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A pair of parametric equations is given. x = cos²(t), y = sin(t) (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. y -0.5 -1.5 0.5 -0.5 -1.0 -1.5 -1.0 0.5 -0.5 (b) Find a rectangular-coordinate equation where 1.5 SX5 1.0 0.5 -0.5 1.5 WebAssign Plot 0.5 -1.5 -0.5 1.5 -1.0 1.0% 0.5 -0.5 the curve by eliminating the parameter. -0.5 0.5 0.5 -0.5 -1.0 -1.5 1.0 1.5 0.5 X

A pair of parametric equations is given. x = cos²(t), y = sin(t) (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. y -0.5 -1.5 0.5 -0.5 -1.0 -1.5 -1.0 0.5 -0.5 (b) Find a rectangular-coordinate equation where 1.5 SX5 1.0 0.5 -0.5 1.5 WebAssign Plot 0.5 -1.5 -0.5 1.5 -1.0 1.0% 0.5 -0.5 the curve by eliminating the parameter. -0.5 0.5 0.5 -0.5 -1.0 -1.5 1.0 1.5 0.5 X

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
A pair of parametric equations is given. x = cos²(t), y = sin(t) (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. y -0.5 -1.5 0.5 -0.5 -1.0 -1.5 -1.0 0.5 -0.5 (b) Find a rectangular-coordinate equation where 1.5 SX5 1.0 0.5 -0.5 1.5 WebAssign Plot 0.5 -1.5 -0.5 1.5 -1.0 1.0% 0.5 -0.5 the curve by eliminating the parameter. -0.5 0.5 0.5 -0.5 -1.0 -1.5 1.0 1.5 0.5 X
Transcribed Image Text:A pair of parametric equations is given. x = cos²(t), y = sin(t) (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. y -0.5 -1.5 0.5 -0.5 -1.0 -1.5 -1.0 0.5 -0.5 (b) Find a rectangular-coordinate equation where 1.5 SX5 1.0 0.5 -0.5 1.5 WebAssign Plot 0.5 -1.5 -0.5 1.5 -1.0 1.0% 0.5 -0.5 the curve by eliminating the parameter. -0.5 0.5 0.5 -0.5 -1.0 -1.5 1.0 1.5 0.5 X
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